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Finding the Third Proportional to 948,447 and 1,422,707

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Solution

The third proportional to 948,447 and 1,422,707 is: 2,134,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,447 : 1,422,707 = 1,422,707 : x
  2. Step 2: Convert to fraction form
    948,447/1,422,707 = 1,422,707/x
  3. Step 3: Cross multiply
    948,447x = 1,422,707 × 1,422,707
  4. Step 4: Simplify right side
    948,447x = 2,024,095,207,849
  5. Step 5: Solve for x
    x = 2,024,095,207,849/948,447
  6. Step 6: Final answer
    x = 2,134,115.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.